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Question
A pendulum clock keeping correct time is taken to high altitudes,
Options
it will keep correct time
its length should be increased to keep correct time
its length should be decreased to keep correct time
it cannot keep correct time even if the length is changed
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Solution
its length should be decreased to keep correct time
Time period of pendulum,T =\[2\pi\sqrt{\frac{l}{g}}\]
At higher altitudes, the value of acceleration due to gravity decreases. Therefore, the length of the pendulum should be decreased to compensate for the decrease in the value of acceleration due to gravity.
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